Answer:
x = 16
Step-by-step explanation:
(8x - 14) = (5x + 34) since they are alternate exterior angles.
Solve for x:
8x - 5x - 14 = 34
3x - 14 = 34
3x = 34 + 14
3x = 48
x = 48/3 = 16
A loan of $ 8000 was repaid in 24 equal monthly instalments of $400. The rate of interest on the loan was
Answer:
if im right 1600? i did it in my head so im not 100 percent sure
Step-by-step explanation:
Suppose that Juan can choose to get home from work by car or bus.
When he chooses to get home by car, he arrives home after 7 p.m. 14 percent of the time.
When he chooses to get home by bus, he arrives home after 7 p.m. 62 percent of the time.
Because the bus is cheaper, he uses the bus 83 percent of the time.
What is the approximate probability that Juan chose to get home from work by bus, given that he arrived home after 7 p.m.?
Using conditional probability, it is found that there is a 0.9556 = 95.56% probability that Juan chose to get home from work by bus, given that he arrived home after 7 p.m.
Conditional Probability
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened. [tex]P(A \cap B)[/tex] is the probability of both A and B happening. P(A) is the probability of A happening.In this problem:
Event A: Arrived home after 7 p.m.Event B: Got home by bus.The percentages associated with arriving home after 7 p.m. are:
14% of 17%(by car).62% of 83%(by bus).Hence:
[tex]P(A) = 0.14(0.17) + 0.62(0.83) = 0.5384[/tex]
The probability of both arriving home after 7 p.m. and using bus is:
[tex]P(A \cap B) = 0.62(0.83)[/tex]
Hence, the conditional probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.62(0.83)}{0.5384} = 0.9556[/tex]
0.9556 = 95.56% probability that Juan chose to get home from work by bus, given that he arrived home after 7 p.m.
You can learn more about conditional probability at https://brainly.com/question/14398287
Can my grade go up to an A within 3 weeks if i just do class work?
Answer:
da_mn the struggle is real
Step-by-step explanation:
The radius of a circle is 15 inches. What is the circumference of the circle? Write your answer using .
Answer: C ≈ 94.25 in
Step-by-step explanation:
what is the answer to 32÷(-8)=
Answer:
-4
Step-by-step explanation:
32÷(-8)=-32÷8
=-4
9lb. 11oz. - 3lb. 11oz. =
Answer:
6lb
Step-by-step explanation:
9lb - 3lb = 6lb
11oz - 11oz = 0oz
If you get it right ill give brainliest hurry pls
|9+40i| = |√9^2 + -40^2| = √1681 = 41
Answer: 41
Answer:
41
Step-by-step explanation:
We know that complex numbers are a combination of real and imaginary numbers
Real part is x and imaginary part y is multiplied by i, square root of -1
Modulus of x+iy =
Here instead of x and y are given 9 and 40
i.e. 9+40i
Hence to find modulus we square the coefficients add them and then find square root
|9+49i| =
By long division method we find that
|9+40i| =41
What are the coordinates of the point on the line 6x-5y=8 that is closest to the origin.
Answer:
(0,-1.6) and (1.3,0)
Step-by-step explanation:
Please help. I just don’t feel like doing it rn
Answer:
mm
Step-by-step explanation:
Write 63 as the product of prime factors
HOW AM I WRONG???
Answer:
Since, the prime factors of 63 are 3, 7. Therefore, the product of prime factors = 3 × 7 = 21.
Step-by-step explanation:
Answer:
3x3x7
Step-by-step explanation:
Dw worry ur not wrong but mathswatch sometimes doesnt want you to simplify it and want you to write it all out :P
Hope this helps! :)
How to take inverse of a matrix.
Step-by-step explanation:
I hope this is your answer
Answer:
k;bjkbihpkbk
Step-by-step explanation:
Please help, thank you in advance
Answer:
Solution
9
1
3
6
Step-by-step explanation:
Evaluate the expression below when a = 5 and b = 2: a (10b - 2a).
Answer:
50Step-by-step explanation:
First, substitute the 2 given values into the expression.
a ( 10b - 2a )
5 ( 10(2) - 2(5) )
Simplify to the lowest terms possible, without distributing.
5(20-10)
Distribute 5 into each term.
100-50 or 20(5)-10(5)
=50
Which constant term would mean that the expression is completely factored?.
Answer:10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
took the test
What is mRS?shown on the picture
Answer:
RS = 80°
Step-by-step explanation:
The sum of the arcs of a circle is 360°.
RS +ST +TR = 360°
RS = 360° -ST -TR = 360° -130° -150°
RS = 80°
13 9/10 divided by 3 1/2
Answer:
[tex]3 \frac{13}{44} [/tex]
Step-by-step explanation:
First let's write our equation
[tex]13 \frac{9}{10} \div 3 \frac{1}{2} [/tex]
Now let's make them improper fractions
[tex] \frac{139}{10} \div \frac{7}{2} [/tex]
Now since we're dividing we with fractions we do the reciprocal and multiply
[tex] \frac{139}{10} \times \frac{2}{7} [/tex]
or
[tex] \frac{139}{5} \times \frac{1}{7} = \frac{139}{42} = 3 \frac{13}{42} [/tex]
Find the length s of the arc that subtends a central angle of measure 3 rad in a circle of radius 5 cm
solve the inequality 4x-3=2x+7
Answer: x=-2
Step-by-step explanation:
Add three to both sides of the equation
4x-3=2x+7
4−3+3=2−7+3
simplify
4=2−4
4−2=2x-4−2
simplify
2=−4
Divide both sides of the equation by the same term
2=−4
2/2=−4/2
=−2
Answer: x = 5
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.x=5
Which of the following functions is quadratic?
O A. F(x) = 5^2
O B. f(x) = 2/x
O c. f(x)=3(x-4)(x+3)
O D. f(x) = 2x^3 + 3x^2 - 5
if u look at it and and which ones have more then u will get ur answer
Option C is correct, f(x)=3(x-4)(x+3) is a quadratic function.
What is quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .
In the given functions which are in the form of ax²+bx+c=0 such functions are considered as quadratic function.
The highest power of the variable x should be two.
f(x)=5² is not a quadratic function.
f(x) = 2/x is not a quadratic function.
f(x)=3(x-4)(x+3)
Let us simplify the function
f(x)=3(x²+3x-4x-12)
=3(x²-x-12)
f(x)=3x²-3x-36
So f(x)=3(x²+3x-4x-12) is a quadratic function.
Hence, Option C is correct, f(x)=3(x-4)(x+3) is a quadratic function.
To learn more on Quadratic equation click:
https://brainly.com/question/17177510
#SPJ7
5. Look at the shaded products. What pattern do you see?
Answer:
8+6+4
Step-by-step explanation:
Find the perimeter. Simplify your answer.
In an attempt to predict a single response variable y, three models are estimated. The standard error of the estimate for Model 1 equals 10, for Model 2 equals 100, and for Model 3 equals 1000. According to the standard error of the estimate, which model provides the best fit
Help pls dont send links by
Answer:
draw a sketch graph for values x and y. but just make sure they r the same e.g if x is 2 y should also be 2. plot points wen y is equal to x. (3,3) (4,4) (5,5). a straight line
for part y=x +2. make any number x e.g let x be 3. therefore y=2+3. y=5. so the point is (3,5). continue with this procedure with about three points then plot on a graph. and it is meant to be a straight line. A TABLE CAN ALSO WORK BUT SHOW STEPS ON HOW YOU GOT THE POINTS
Answer:
I think it's 3.
Step-by-step explanation:
Sorry if it's wrong.
Which of the following shows a translation of f(x) two units to the left?
a f(x + 2)
b f(x) – 2
c f(x – 2)
d f(x) + 2
Answer: D. f(x) + 2
Step-by-step explanation: if its not this then its B. f(x) - 2
Can someone please help I will give you 30 points and brainliest if the answer is right also no links please
Answer:
x = 9
Step-by-step explanation:
Exterior Angle property of a triangle:
The Exterior Angle property states that:
"The exterior angle of a triangle(the Angle obtained by extending one of the sides of the triangle) is equal to the sum of it's interior opposite angles."
In the given triangle RST:
∠VRS is the exterior angle, and
∠RTS and ∠RST are the interior opposite angles.
By using the above listed property,
∠VRS = ∠RTS + ∠RST
(Substituting the values of of angles from the figure)
=> (9x + 2) = 51 + (3x + 5)
=> 9x + 2 = 51 + 3x + 5
isolating x
=> 9x - 3x = 51 + 5 - 2
=> 6x = 54
dividing both sides by 6
=> x = 9
What is the slope of the line that passes through the points (9, 1) and (17, 2)
Answer: The slope is 1/8
Step-by-step explanation:
Full equation = ( y = 1/8x-1/8)
Step-by-step explanation:
Slope = y2-y1/x2-x1
= 2-1/17-9
=1/8
=0.125
Evaluate (x +40) -- 23 when 2 = = 8.
8
O A. 5
B. 48
C. 6
D. 8
Pls help
Answer:
C
Step-by-step explanation:
x=8
(8+40)= 48
2³=2×2×2=8
48:8=6
40 POINTSSS!!!!
The function g(x)=−x2+14x+39 is at a minimum when x=7.
True or False
The statement "the function g(x) = - x² + 14x + 39 is at a minimum when x = 7" is false.
What is a expression? What is a mathematical equation? What is Equation modelling ?A mathematical function is made up of terms (constants and variables) separated by mathematical operators having a dependent and independent variable. A mathematical equation is used to equate two expressions. For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which y exists.
We have the following function -
g(x) = - x² + 14x + 39
We will plot the graph of the function to find the minimum value. We can see the graph is maximum when x = 7. Hence, the statement is false.
Therefore, the statement "the function g(x) = - x² + 14x + 39 is at a minimum when x = 7" is false.
To solve more questions on functions, visit the link below -
brainly.com/question/1632425
#SPJ2
Example where we use a binary number system.
find the nth term in the following sequesnce: 1, 3, 9, 27
Answer:81
Step-by-step explanation: it is skip by 3x so 21 x3 = 81
:)